x2-3x=144

Simple and best practice solution for x2-3x=144 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x2-3x=144 equation:



x2-3x=144
We move all terms to the left:
x2-3x-(144)=0
We add all the numbers together, and all the variables
x^2-3x-144=0
a = 1; b = -3; c = -144;
Δ = b2-4ac
Δ = -32-4·1·(-144)
Δ = 585
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{585}=\sqrt{9*65}=\sqrt{9}*\sqrt{65}=3\sqrt{65}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3\sqrt{65}}{2*1}=\frac{3-3\sqrt{65}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3\sqrt{65}}{2*1}=\frac{3+3\sqrt{65}}{2} $

See similar equations:

| 6=-9-5x/4 | | 2=1/2(5x-8) | | 3x-9=6(2x-3) | | 13x/10=91 | | 8x+10=-5x-10+3 | | 9v+6-18v=-1 | | 2−​2​​1​​n=3n+16 | | 10.3+w/5=-2.2 | | F(2)=2x^2+6x+5 | | 4(7-3x)+2x=-2-5(2x-6) | | 5z+7=z=8 | | -3(y+5)=-6y+12 | | 2z+7=–5 | | 90+5x+80+(4x+10)=360 | | 8|x+2|-6=5|x+2|+3 | | 1/2=p+1/6 | | 3x-5=6(2x-3) | | -39=-3w | | 25x2+20X+4=0 | | 4+7x+x=92 | | 10/3x=50/3 | | 25-5+4x5=0 | | 2(2w-1)=-10(w-3)+4 | | 5-2n=-7+4n | | A=4πr | | 6z-9z=-z-7=4z | | -5+x/5=-25 | | 4(x+3)-4=8(1/2+1) | | -39=13w | | |5x-2|=-10 | | 10x=300+5x | | 9x-5.12=-1.34 |

Equations solver categories